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arXiv · 1507.04842

Tunneling as a Source for Quantum Chaos

Ofir Flom·Asher Yahalom·Haggai Zilberberg·L. P. Horwitz·Jacob Levitan
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Abstract

We use an one dimensional model of a square barrier embedded in an infinite potential well to demonstrate that tunneling leads to a complex behavior of the wave function and that the degree of complexity may be quantified by use of the spatial entropy function defined by S = -\int |\Psi(x,t)|^2 ln |\Psi(x,t)|^2 dx. There is no classical counterpart to tunneling, but a decrease in the tunneling in a short time interval may be interpreted as an approach of a quantum system to a classical system. We show that changing the square barrier by increasing the height/width do not only decrease the tunneling but also slows down the rapid rise of the entropy function, indicating that the entropy growth is an essentially quantum effect.

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Ofir Flom, Asher Yahalom, Haggai Zilberberg, L. P. Horwitz, Jacob Levitan. 2015-07-17. Tunneling as a Source for Quantum Chaos. https://arxiv.org/abs/1507.04842

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